The Canary version of React has a special component for ViewTransitions. Does it help?

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React's Canary build introduces a ViewTransition component that wraps the web platform's View Transitions API. While the native API works fine in React by wrapping state updates in document.startViewTransition(), the new component automatically handles view-transition-name assignment and coordinates transitions with React's rendering lifecycle, Suspense boundaries, and concurrent features. The component uses startTransition and provides declarative enter/exit attributes for custom CSS classes, though it requires learning React-specific patterns that aren't transferrable to other frameworks.

React’s ViewTransition Element – Frontend Masters Blog

Using View Transitions in React (Classic Style?)